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Finding the Fourth Proportional to 2,138.79, 2,951.37 and 1,394.19

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Solution

The fourth proportional to 2,138.79, 2,951.37 and 1,394.19 is: 1,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.79 : 2,951.37 = 1,394.19 : x
  2. Step 2: Convert to fraction form
    2,138.79/2,951.37 = 1,394.19/x
  3. Step 3: Cross multiply
    2,138.79x = 2,951.37 × 1,394.19
  4. Step 4: Simplify right side
    2,138.79x = 4,114,770.54
  5. Step 5: Solve for x
    x = 4,114,770.54/2,138.79
  6. Step 6: Final answer
    x = 1,923.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.